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more generalizing non-octave scales

🔗D.Stearns <STEARNS@CAPECOD.NET>

4/20/2001 11:45:07 PM

X = P/((A+W*B))*(a+W*b)

where

P = any given periodicity

W = the relative proportion of the stepsizes

a/A, b/B = two adjacent fractions of a given two-stepsize [A,B] index
where A B and P are scaled by their GCD

and X = the resulting weighted generator

(In the classic example of Kornerup's Golden meantone, P = 1200, W =
Phi and a/A, b/B = 1/2, 3/5. But the idea here is total
generalization, and any two-stepsize scale in any given periodicity
can be given in any desired proportion.)

--Dan Stearns